A new water park was designed to contain two circular pools. Pool A has a diameter of 60 m, and pool B has a diameter of 80 m. a) If the designer wants to outline the pools with rope lights, how many meters will be needed to outline the smaller pool? (Use 3.14 for π.)

Answer:SOLUTION

The midpoint for two points P=(px,py) and Q=(qx,qy) is M=(px+qx2,py+qy2).

We have that px=1, py=3, qx=5, qy=1.

Thus, M=(1+52,3+12)=(3,2).

ANSWER

M=(3,2)A

Step-by-step explanation:

Answer:

The midpoint is (3, 2)

Step-by-step explanation:

To find the x-coordinate of the midpoint, average the x-coordinates 1 and 5:

          1 + 5

xm = ----------- = 3

              2

y-coordinate:

          1 + 3

ym = ----------- = 2

              2

The midpoint is (3, 2)

Answer:

16 and 18

16 + 18 = 34 .......... .....

Answer:

Ron killed 8 times as many spiders as Harry: R = 8 * H

Step-by-step explanation:

This expression represents the situation in which Ron killed 8 times as many spiders as Harry.

2nd

Step-by-step explanation:

8/9 to the second power equals to 64/81. Hope this helps!

Answer:

Hi  

x = exponent  

64 = 8·8 = 8^2

81 = 9·9 = 9^2

64/81 = 8^2/9^2 = (8/9)^2

(8/9)^2 = (8/9)^x

x = 2

Step-by-step explanation:

Please consider giving me brainliest.

Answer:47

Step-by-step explanation

To convert the log base 2 to log base 10, we can use the change of base formula for logarithms. The change of base formula for logarithms is as written:

log b(x)=logc(x) logc(b)

By Using this formula, we can convert or find log base 2 to log base 10, where log base 10 is called the common logarithm, and we denote log10 (x) as log(x). The change of base formula gives the following:

log2(x)=log10(x)log10(2)=log(x)log(2)

This gives us the formula we can use to convert a logarithm with base 2 to a common logarithm with base 10.

The log function of e to the base 10 is denoted as “log 10 e”. Where the value of e is 2.7182818. The natural log function of e is denoted as “log e e”.

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Answer:

x1=-4 x2=10

Step-by-step explanation:

step 1: x-3 = +/- 7 <--- take the square roots of both sides of the equation and use both positive and negative roots

step 2: x-3 = -7

            x-3=7

step 3: x-3=-7--> x=-4

           x-3=7--> x=10

step 4:x1=-4, x2=10 is the answer

Hello there!

Answer:

y = ± 13

Step-by-step explanation:

[tex]y {}^{2} - 58 = 25 \times 4 + 11 \\ y {}^{2} - 58 = 100 + 11 \\ y {}^{2} - 58 = 111 \\ y {}^{2} - 58 - 111 = 111 - 111 \\ y {}^{2} - 169 = 0 \\ (y + 13)(y - 13) = 0 \\ y = - 13 \: \: \: and \: \: \: y = 13[/tex]

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[tex] \underline{ \large \rm Solution} : [/tex]

[tex]\rm Given : [/tex]

Two equations are -

[tex] \rm Procedure : [/tex]

Considering the equations as (i) and (ii) respectively

From equation (i) -

put this value of y in equation (ii) -

Next thing to do would be to put value of x we got in equation (i) to get y

Values asked are :

[tex] \rightarrow \rm y = - 4[/tex]

[tex] \rightarrow \rm x= - 2[/tex]

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Answer: 12

Step-by-step explanation:

Answer:

1. length×width × height

4×9×10

=360cm

2.base×height

36×65

=2340 inches

Answer:

AD = 1 3/4y + 5/8x - 3

Step-by-step explanation:

AD = 1/4x + 2y + 3 - 1/4y + 3/8x - 6

combine like terms:

AD = 1 3/4y + 5/8x - 3

Answer:  I think 7/2?

Step-by-step explanation:

Answer:

1.99

Step-by-step explanation:

Pi is 3.14

So result is 1.99

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values.

The term "inequality" refers to a relationship between two expressions or values that is not equal to one another. Inequality originates from an imbalance, thus.

In order to get the variable on its own, you can solve a lot of straightforward inequalities by adding, removing, multiplying, or dividing the two sides. But as a result of them, the direction of the inequality will change: Using a negative number to divide or multiply both sides. right and left sides are switched.

An inequality results from the comparison of two or more algebraic expressions using the symbols, >, or. They are the mathematical expressions with unequal sides.

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The revolution of the Earth and Moon refers to their orbits around the Sun. The Earth's revolution takes time of 365.24 days, and the Moon's revolution takes 27.32 days.

The revolution of the Earth and Moon is the path of the two celestial bodies around the Sun. The Earth takes 365.24 days to complete one revolution, which is also known as one year. The Moon, on the other hand, takes 27.32 days to complete one revolution, which is also known as one lunar month.

The revolution of the Earth and Moon refers to their orbits around the Sun, with the Earth taking 365.24 days and the Moon taking 27.32 days to complete one revolution.The revolution of the Earth and Moon refers to their orbits around the Sun. The Earth's revolution takes 365.24 days, and the Moon's revolution takes time of  27.32 days.

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Three examples of perfect squares is 1) 9, as it is equal to 3 x 3.2) 16, as it is equal to 4 x 4.3) 25, as it is equal to 5 x 5.

Perfect squares are numbers that can be expressed as the product of two equal integers, such as 4, 9, and 16. These numbers can be written as the square of a single number, such as 2² = 4, 3² = 9, and 4² = 16. Perfect squares are also known as whole squares, and they provide an easy way to find the square root of a number.

Perfect squares are numbers that are the result of multiplying a number by itself. For instance, 4 is a perfect square because it is equal to 2 x 2.

Similarly, 9 is a perfect square because it is equal to 3 x 3. Perfect squares can be easily identified by their square root, which is the number that can be multiplied by itself to produce the perfect square.

For example, the square root of 16 is 4, since 4 x 4 = 16.

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Answer:

64?

Step-by-step explanation:

Basically the idea is we suppose the number she thinks of is "x"

She says that if she cube roots the number and then quadruples it (means multiply by 4 I think) she gets 16. We set this up as equation below:

[tex]4\sqrt[3]{x} = 16\\\sqrt[3]{x} = 4\\x = 4^{3}\\ x= 64[/tex]

This is my best guess, not totally sure sorry

Answer:

$5.05

Step-by-step explanation:

By drawing a number line and then marking it as 0 and 1, and by dividing the distance in 8 equal parts we can graph 3/4 on the number line, where 3/4 = 6/8, which will be equal to the sixth part from the left end.

A number line is a diagram of a graded straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present.

For drawing 3/4 on a number line, we will follow the following steps:

We will first draw a line and mark 0 and 1 on it.

In between 0 and 1, we will divide the total distance into 8 equal parts, where one part will represent (1/8)th portion.

As 3/4 can be written as 6/8 which will be equal to 6 parts out of those 8 parts.

Hence. by marking there we can locate 3/4 on the number line.

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The correct question should be like:
How do you plot 3/4 on number line

Answer:

Lemme get you numba first

Answer:

y = -3/4x + 36

Step-by-step explanation:

You move down three spaces and over 4 spaces on the graph

36 is the y intercept of the line

Answer:

4 pounds of cheese

Step-by-step explanation:

4/5*5=4

Answer:

This is a prism since both sides are the same triangle,

Lets find the area of the triangle first then multiply it by the width which is 16.

20.5(base or height) x 13.3(height or base) = 272.65

272.65 divided by 2 ( x 1/2) = 136.325 is your area, now we multiply by the width.

136.325 x 16 = 2,181.2 mm3 is your volume.

Whenever coming across these types of volumes we must first find a shape and find its area then multiply it by the figure's height.

Formula area of a triangle:

B(base) x H(height) x 1/2(basically just dividing by 2)

I believe the answer to that is <

Answer:

<

Step-by-step explanation:

Negative 1 and 3/4 is less than negative -1 and 1/4 because if you were to put the points on a number line, -1 and 1/4 is on the right of negative 1 and 3/4. And right is the positive direction on a number line.

Answer:

60.3

Step-by-step explanation:

hope this helps

Answer:

7, since it is the number that pops up the most in the set of data given here

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

An Ideal solution follows the Raoult's law strictly

A Real solution shows deviation from the Raoult's law.

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

The angles of a triangle added together equal 180⁰. Set up a simple equation to solve for x.

90⁰ + 42⁰ + (2x)⁰ = 180⁰

90 + 42 = 132

2x = 180 - 132

2x = 48

x = 24

Answer:

x = 24

Step-by-step explanation:

2x + 42 + 90 = 180

2x + 132 = 180

2x = 48

48/2 = x

x = 24

Have a nice day!

The inverse of the function is {(5, 3), (8, 2), (5, 1), (3, 0)} and it is not a function

From the question, we have the following parameters that can be used in our computation:

((3,5), (2,8), (1.5), (0.3))

The above ordered pairs can be represented a

(x, y)

This means that the inverse function is

(y, x)

So, we have the following expression

(y, x) = {(5, 3), (8, 2), (5, 1), (3, 0)}

Also, the inverse is not a function

This is so because the x value 5 has different y values 3 and 1

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